Colpus, Mark and Goss-Sampson, Mark ORCID: https://orcid.org/0000-0002-2662-559X (2015) Video measurement of linear displacement along an oblique line using the cross-ratio. In: 33rd International Conference of Biomechanics in Sport, 29th June - 3rd July 2015, Poitiers, France.

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Abstract

The purpose of this study was to rediscover the cross-ratio and assess its effectiveness for measuring linear displacement when the image plane is not parallel to the object plane. In the laboratory a fixed, 4m object length was reconstructed with a mean absolute error of 2.6mm (s.d. = 1.6mm, maximum = 4.9mm). In the field, two cameras filmed a fixed, 8m object length with a mean absolute error of 13mm (s.d. = 5mm, maximum = 20mm). The method is very accessible to non-specialists in projective geometry and the results are both valid and reliable.

Item Type:	Conference or Conference Paper (Paper)
Uncontrolled Keywords:	cross-ratio, camera, calibration, perspective.
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Education, Health & Human Sciences > School of Human Sciences (HUM) Faculty of Education, Health & Human Sciences > Institute for Lifecourse Development > Centre for Exercise Activity and Rehabilitation
Related URLs:	Publisher
Last Modified:	22 Nov 2021 11:49
URI:	http://gala.gre.ac.uk/id/eprint/13982

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